8 629 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
258871	6	18.0	old
957404790743	12	39.8	old
10090322280381743	17	53.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	267472213480F0DC	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	267472213480F0DC	3	311	1	3
Verified	2020-04-17	Oliver Kruse	D0D3D1931471AA73	3	3042	5	3
Verified	2024-07-01	kkmrkkblmbrbk	D0D3D1931471AA73	3	6908	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8629/10090322280381743/258871/957404790743 : D0D3D1931471AA73 PRP: Verified PRP without proof (small exponent)
2023-08-13	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2021-12-14	Lisander Viaene	NF-PM1	B1=101101101, B2=26122147691640
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=1086576120630
2020-04-17	Oliver Kruse	C-PRP	M8629/258871/957404790743/10090322280381743 : D0D3D1931471AA73 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8629/258871/957404790743/10090322280381743 : 267472213480F0DC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8629/258871/957404790743/10090322280381743 : 267472213480F0DC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8629/258871/957404790743/10090322280381743 : 267472213480F0DC PRP without proof (not generated)